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12212540 = 22523139191
BaseRepresentation
bin101110100101…
…100100111100
3211222110110022
4232211210330
511111300130
61113431312
7205543034
oct56454474
924873408
1012212540
11699150a
12410b538
1326b7972
14189c8c4
1511137e5
hexba593c

12212540 has 48 divisors (see below), whose sum is σ = 27095040. Its totient is φ = 4614720.

The previous prime is 12212539. The next prime is 12212549. The reversal of 12212540 is 4521221.

It is a super-2 number, since 2×122125402 = 298292266503200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12212549) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63845 + ... + 64035.

It is an arithmetic number, because the mean of its divisors is an integer number (564480).

Almost surely, 212212540 is an apocalyptic number.

12212540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12212540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13547520).

12212540 is an abundant number, since it is smaller than the sum of its proper divisors (14882500).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

12212540 is a wasteful number, since it uses less digits than its factorization.

12212540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 360 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 17.

The square root of 12212540 is about 3494.6444740488. The cubic root of 12212540 is about 230.2865992468.

Adding to 12212540 its reverse (4521221), we get a palindrome (16733761).

The spelling of 12212540 in words is "twelve million, two hundred twelve thousand, five hundred forty".

Divisors: 1 2 4 5 10 20 23 46 92 115 139 191 230 278 382 460 556 695 764 955 1390 1910 2780 3197 3820 4393 6394 8786 12788 15985 17572 21965 26549 31970 43930 53098 63940 87860 106196 132745 265490 530980 610627 1221254 2442508 3053135 6106270 12212540